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Finding the Fourth Proportional to 83,768.19, 125,670.78 and 27,606.03

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Solution

The fourth proportional to 83,768.19, 125,670.78 and 27,606.03 is: 41,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,768.19 : 125,670.78 = 27,606.03 : x
  2. Step 2: Convert to fraction form
    83,768.19/125,670.78 = 27,606.03/x
  3. Step 3: Cross multiply
    83,768.19x = 125,670.78 × 27,606.03
  4. Step 4: Simplify right side
    83,768.19x = 3,469,271,322.80
  5. Step 5: Solve for x
    x = 3,469,271,322.80/83,768.19
  6. Step 6: Final answer
    x = 41,415.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.